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Finding the Fourth Proportional to 406,839, 610,258.50 and 157,521

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Solution

The fourth proportional to 406,839, 610,258.50 and 157,521 is: 236,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,839 : 610,258.50 = 157,521 : x
  2. Step 2: Convert to fraction form
    406,839/610,258.50 = 157,521/x
  3. Step 3: Cross multiply
    406,839x = 610,258.50 × 157,521
  4. Step 4: Simplify right side
    406,839x = 96,128,529,178.50
  5. Step 5: Solve for x
    x = 96,128,529,178.50/406,839
  6. Step 6: Final answer
    x = 236,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.